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Finding the Third Proportional to 428,697 and 941,472

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Solution

The third proportional to 428,697 and 941,472 is: 2,067,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,697 : 941,472 = 941,472 : x
  2. Step 2: Convert to fraction form
    428,697/941,472 = 941,472/x
  3. Step 3: Cross multiply
    428,697x = 941,472 × 941,472
  4. Step 4: Simplify right side
    428,697x = 886,369,526,784
  5. Step 5: Solve for x
    x = 886,369,526,784/428,697
  6. Step 6: Final answer
    x = 2,067,589.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.